To find the mean absolute deviation (MAD), follow these steps:
1. Find the mean of the dataset:
Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.67
2. Find the absolute deviation of each data point from the mean:
|125 - 170.67| = 45.67
|198 - 170.67| = 27.33
|209 - 170.67| = 38.33
|213 - 170.67| = 42.33
|101 - 170.67| = 69.67
|178 - 170.67| = 7.33
3. Find the mean of the absolute deviations:
MAD = (45.67 + 27.33 + 38.33 + 42.33 + 69.67 + 7.33) / 6
MAD = 230.66 / 6
MAD = 38.44
Therefore, the mean absolute deviation of the dataset is approximately 38.4 (rounded to the nearest tenth).
The number of apples produced per tree in Zara's orchard is 125, 198, 209, 213, 101, 178. What is
the mean absolute deviation of the dataset? Round to the nearest tenth. (1 point)
1 answer